Abstract
In this paper, we will present a Boundary Function (BF) based type reduction/ denazification method for Interval Type-2 Fuzzy PID (IT2-PID) controllers. Thus, we have presented a novel representation of the optimal Switching Points (SPs) of the Karnik Mendel (KM) method by first decomposing the IT2-FPID controller into SubControllers (SCs) and then derived Boundary Functions (BFs) to determine the optimal SPs of each SCs. Since the optimal SPs are calculated without an iterative algorithm, the explicit expressions of how the SPs are determined is represented in analytical structure via the proposed BFs. We have presented comparative studies where the computational time performance of the proposed BF-KM method is compared to the KM and the decomposition based KM methods. The presented results show that proposed method is superior in comparison to the other compared methods and feasible for especially real time control applications where there is a need of small sampling times.
Original language | English |
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Title of host publication | Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 619-625 |
Number of pages | 7 |
ISBN (Electronic) | 9781479920723 |
DOIs | |
Publication status | Published - 4 Sept 2014 |
Event | 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2014 - Beijing, China Duration: 6 Jul 2014 → 11 Jul 2014 |
Publication series
Name | IEEE International Conference on Fuzzy Systems |
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ISSN (Print) | 1098-7584 |
Conference
Conference | 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2014 |
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Country/Territory | China |
City | Beijing |
Period | 6/07/14 → 11/07/14 |
Bibliographical note
Publisher Copyright:© 2014 IEEE.
Keywords
- Decomposition
- Interval type-2 fuzzy PID controllers
- Karnik-Mendel Method
- Switicing Points